{
  "id": "1503.01863",
  "version": "v1",
  "published": "2015-03-06T06:56:56.000Z",
  "updated": "2015-03-06T06:56:56.000Z",
  "title": "Dynamics of flat actions on totally disconnected, locally compact groups",
  "authors": [
    "Colin D. Reid"
  ],
  "comment": "59 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a totally disconnected, locally compact group and let $H$ be a virtually flat (for example, polycyclic) group of automorphisms of $G$. We study the structure of, and relationships between, various subgroups of $G$ defined by the dynamics of $H$. In particular, we consider the following four subgroups: the intersection of all tidy subgroups for $H$ on $G$ (in the case that $H$ is flat); the intersection of all $H$-invariant open subgroups of $G$; the smallest closed $H$-invariant subgroup $D$ such that $H$ acts distally on $G/D$; and the group generated by the closures of contraction groups of elements of $H$ on $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-06T06:56:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05"
    ],
    "keywords": [
      "locally compact group",
      "flat actions",
      "invariant open subgroups",
      "contraction groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150301863R"
    }
  }
}